{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction: Looking at Data to Correct Cognitive Biases\n",
    "\n",
    "[Medium article: \"How to Overcome Biases with Data\"](https://medium.com/p/692c8c35f4a5)\n",
    "\n",
    "In this notebook, we will investigate a simple problem: is the smoking rate higher in the metro area of my hometown (Peoria, Il) or in Boston. The purpose is to see if I can combat my cognitive biases with data and explore the data to determine why I made a incorrect conclusion.\n",
    "\n",
    "# City Level Data\n",
    "\n",
    "https://nccd.cdc.gov/500_Cities/rdPage.aspx?rdReport=DPH_500_Cities.ComparisonReport&Locations=1759000,2507000&rdRequestForwarding=Form\n",
    "\n",
    "![](images/rates_smoking.PNG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:25.874443Z",
     "start_time": "2018-11-02T02:22:25.695890Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:25.878214Z",
     "start_time": "2018-11-02T02:22:25.875892Z"
    }
   },
   "outputs": [],
   "source": [
    "# Boston\n",
    "b_p = 0.164\n",
    "b_ci = [0.161, 0.166]\n",
    "b_adults = 472582\n",
    "b_smokers = b_p * b_adults\n",
    "\n",
    "# Peoria\n",
    "p_p = 0.199\n",
    "p_ci = [0.194, 0.203]\n",
    "p_adults = 83925\n",
    "p_smokers = p_p * p_adults"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Difference Between Two Proportions\n",
    "\n",
    "This is assuming 10% of adults in each city surveyed. \n",
    "\n",
    "Relevant Data:\n",
    "\n",
    "* Boston number of adults = 472582: https://www.bumc.bu.edu/inspir/files/HTML/Boston%20Population%20and%20Demographics.htm\n",
    "* Peoria number of adults = 83925: https://www.infoplease.com/us/illinois/demographic-statistics-61\n",
    "* Boston smoking rate = 0.164 (from first source in image)\n",
    "* Peoria smoking rate = 0.199(from first source in image)\n",
    "\n",
    "z-score for 95% CI: http://www.stat.yale.edu/Courses/1997-98/101/confint.htm\n",
    "\n",
    "Difference between two proportions formula: https://onlinecourses.science.psu.edu/stat100/node/57/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:25.884108Z",
     "start_time": "2018-11-02T02:22:25.879415Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The 95% confidence interval for difference between smoking rates is from 2.5829% to 4.4171%\n"
     ]
    }
   ],
   "source": [
    "# Standard errors individual\n",
    "b_se = np.sqrt((b_p * (1 - b_p)) / (0.1 * b_adults))\n",
    "p_se = np.sqrt((p_p * (1 - p_p)) / (0.1 * p_adults))\n",
    "\n",
    "# Standard error combined\n",
    "se_diff = np.sqrt(np.square(b_se) + np.square(p_se))\n",
    "\n",
    "z_95 = 1.96\n",
    "\n",
    "# Upper confidence bound for difference (two-tailed)\n",
    "uci = (p_p - b_p) + z_95 * se_diff\n",
    "# Lower confidence bound\n",
    "lci = (p_p - b_p) - z_95 * se_diff\n",
    "\n",
    "print(f'The 95% confidence interval for difference between smoking rates is from {round(100 * lci, 4)}% to {round(100 * uci, 4)}%')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This indicates the difference is significant. We can also tell this from the non-overlapping individual confidence intervals."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Distributions\n",
    "\n",
    "If we assume the smoking rate proportion is normally distributed then we can construct a normal distribution and sample from it. Then we can visually show the data in boxplots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:25.902707Z",
     "start_time": "2018-11-02T02:22:25.885493Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Standard deviation for Boston: 0.001020408163265307\n",
      "Standard deviation for Peoria: 0.002040816326530614\n"
     ]
    }
   ],
   "source": [
    "z_95 = 1.96\n",
    "\n",
    "b_sigma = ((b_ci[1] - b_p) / z_95) * 1\n",
    "p_sigma = ((p_ci[1] - p_p) / z_95) * 1\n",
    "\n",
    "print(f'Standard deviation for Boston: {b_sigma}')\n",
    "print(f'Standard deviation for Peoria: {p_sigma}')\n",
    "\n",
    "# Sample distributions \n",
    "p_dist = np.random.normal(loc = p_p, scale = p_sigma, size = 100000)\n",
    "b_dist = np.random.normal(loc = b_p, scale = b_sigma, size = 100000)\n",
    "# Names\n",
    "b = np.repeat('boston', repeats = len(b_dist))\n",
    "p = np.repeat('peoria', repeats = len(p_dist))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Confidence interval for Boston."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:26.108357Z",
     "start_time": "2018-11-02T02:22:25.904047Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.16200003675046934, 0.16599996324953067)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scipy import stats\n",
    "b_ci = stats.norm.interval(0.95, loc = b_p, scale = b_sigma)\n",
    "b_ci"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Confidence interval for Peoria"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:26.113098Z",
     "start_time": "2018-11-02T02:22:26.109723Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.19500007350093868, 0.20299992649906135)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_ci = stats.norm.interval(0.95, loc = p_p, scale = p_sigma)\n",
    "p_ci"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The confidence intervals from our simulated data are basically the same as those from the survey data. The survey data does have uneven confidence intervals though. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:26.377082Z",
     "start_time": "2018-11-02T02:22:26.114286Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"8\" halign=\"left\">proportion</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>city</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>boston</th>\n",
       "      <td>100000.0</td>\n",
       "      <td>0.164003</td>\n",
       "      <td>0.001018</td>\n",
       "      <td>0.159767</td>\n",
       "      <td>0.163316</td>\n",
       "      <td>0.164006</td>\n",
       "      <td>0.164690</td>\n",
       "      <td>0.168284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>peoria</th>\n",
       "      <td>100000.0</td>\n",
       "      <td>0.199006</td>\n",
       "      <td>0.002042</td>\n",
       "      <td>0.190117</td>\n",
       "      <td>0.197627</td>\n",
       "      <td>0.199007</td>\n",
       "      <td>0.200389</td>\n",
       "      <td>0.209150</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       proportion                                                              \\\n",
       "            count      mean       std       min       25%       50%       75%   \n",
       "city                                                                            \n",
       "boston   100000.0  0.164003  0.001018  0.159767  0.163316  0.164006  0.164690   \n",
       "peoria   100000.0  0.199006  0.002042  0.190117  0.197627  0.199007  0.200389   \n",
       "\n",
       "                  \n",
       "             max  \n",
       "city              \n",
       "boston  0.168284  \n",
       "peoria  0.209150  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "dist_df = pd.DataFrame({'proportion': list(b_dist) + list(p_dist)})\n",
    "dist_df['city'] = list(b) + list(p)\n",
    "dist_df.groupby('city').describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:26.381295Z",
     "start_time": "2018-11-02T02:22:26.378461Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "default_c = plt.rcParams['axes.prop_cycle'].by_key()['color']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:26.838869Z",
     "start_time": "2018-11-02T02:22:26.382721Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ubuntu/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "plt.figure(figsize = (10, 8))\n",
    "p1 = sns.kdeplot(p_dist, label = 'Peoria')\n",
    "p2 = sns.kdeplot(b_dist, label = 'Boston')\n",
    "plt.legend(); plt.title('Distribution of Percentages');\n",
    "\n",
    "# Means and confidence intervals\n",
    "plt.vlines([b_p, p_p], ymin = 0, ymax = 400, colors = ['#D4CA3A', '#00BEFF']);\n",
    "plt.hlines([25], xmin = b_ci[0], xmax = b_ci[1], colors = ['#D4CA3A'], linestyles = '-')\n",
    "plt.hlines([25], xmin = p_ci[0], xmax = p_ci[1], colors = ['#00BEFF'], linestyles = '-');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The confidence interval for Boston is slightly narrower. Boxplots are a good way to show a distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:27.152755Z",
     "start_time": "2018-11-02T02:22:26.840449Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['font.size'] = 32\n",
    "plt.figure(figsize = (20, 8))\n",
    "sns.boxplot(x = 'proportion', y = 'city', data = dist_df);\n",
    "plt.xlabel('Proportion of Smokers');\n",
    "plt.title('Boxplot of Smoking Rates');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:28.108076Z",
     "start_time": "2018-11-02T02:22:27.154401Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ubuntu/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 8))\n",
    "sns.violinplot(y = 'proportion', x = 'city', data = dist_df);\n",
    "plt.ylabel('Percentage of Smokers');\n",
    "plt.title('Violinplot of Smoking Rates');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# How Many Smokers Do I See Per Day?\n",
    "\n",
    "To show why I would see many more smokers in Boston, we can simulate 10,000 days with the known rates and the number of people I meet in my hometown and Boston. Putting it in these terms shows why I would be susceptible to the availability heuristic."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:28.120926Z",
     "start_time": "2018-11-02T02:22:28.109502Z"
    }
   },
   "outputs": [],
   "source": [
    "n_samples = 10000\n",
    "people_meet_peoria = 50\n",
    "peoria_see = np.random.binomial(1, p_p, size = (n_samples, people_meet_peoria))\n",
    "peoria_smokers = np.sum(peoria_see, axis = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.078006Z",
     "start_time": "2018-11-02T02:22:28.122301Z"
    }
   },
   "outputs": [],
   "source": [
    "people_meet_boston = 5000\n",
    "boston_see = np.random.binomial(1, p_p, size = (n_samples, people_meet_boston))\n",
    "boston_smokers = np.sum(boston_see, axis = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.520301Z",
     "start_time": "2018-11-02T02:22:29.079488Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (20, 8))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.xlabel('Number of Smokers Seen'); plt.title('Hometown'); plt.ylabel('Days');\n",
    "plt.hist(peoria_smokers, bins = 20, edgecolor = 'k');\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.hist(boston_smokers, bins = 20, edgecolor = 'k');\n",
    "plt.xlabel('Number of Smokers Seen'); plt.title('Boston'); plt.ylabel('Days');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Costs\n",
    "\n",
    "Out of curiousity, I wanted to calculate the economic costs of smoking and compare these to the revenues from taxes. The following data was used.\n",
    "\n",
    "\n",
    "* Economic Costs: https://www.cdc.gov/tobacco/data_statistics/fact_sheets/economics/econ_facts/index.htm\n",
    "     * \\$326 billion = 170 billion for direct medical care and 156 billion in lost productivity\n",
    "     * Number of smokers = 37.8 million: https://www.cdc.gov/tobacco/data_statistics/fact_sheets/adult_data/cig_smoking/index.htm\n",
    "     * Cost per smoker = 326 billion / 37.8 million = \\$8624\n",
    "* Taxes: \n",
    "    * \\$1.98 / pack in Illinois: https://www.salestaxhandbook.com/illinois/tobacco\n",
    "    * \\$3.51 / pack in Massachusetts: https://www.mass.gov/info-details/dor-cigarette-and-tobacco-excise-tax\n",
    "    * Assume 1 pack / smoker / day\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.524862Z",
     "start_time": "2018-11-02T02:22:29.521785Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8624.338624338625"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "total_cost = 326_000_000_000\n",
    "n_smokers = 37_800_000\n",
    "cost_per_smoker = total_cost / n_smokers\n",
    "cost_per_smoker"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.528746Z",
     "start_time": "2018-11-02T02:22:29.526236Z"
    }
   },
   "outputs": [],
   "source": [
    "n_packs = 1\n",
    "days = 365 \n",
    "\n",
    "p_packtax = 1.98\n",
    "b_packtax = 3.51"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.534377Z",
     "start_time": "2018-11-02T02:22:29.530098Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tax revenue in Peoria from smoking: $12,069,866.90.\n",
      "Tax revenue in Boston from smoking: $99,293,542.41.\n"
     ]
    }
   ],
   "source": [
    "p_revenue = p_smokers * p_packtax * n_packs * days\n",
    "b_revenue = b_smokers * b_packtax * n_packs * days\n",
    "\n",
    "print(f'Tax revenue in Peoria from smoking: ${p_revenue:,.2f}.')\n",
    "print(f'Tax revenue in Boston from smoking: ${b_revenue:,.2f}.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.538267Z",
     "start_time": "2018-11-02T02:22:29.535708Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost to Peoria from smoking: $144,035,726.19.\n",
      "Cost to Boston from smoking: $668,415,980.11.\n"
     ]
    }
   ],
   "source": [
    "p_cost = cost_per_smoker * p_smokers\n",
    "b_cost = cost_per_smoker * b_smokers\n",
    "\n",
    "print(f'Cost to Peoria from smoking: ${p_cost:,.2f}.')\n",
    "print(f'Cost to Boston from smoking: ${b_cost:,.2f}.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.769525Z",
     "start_time": "2018-11-02T02:22:29.539555Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = pd.DataFrame({'value': [b_cost, p_cost, b_revenue, p_revenue],\n",
    "                     'metric': ['cost', 'cost', 'revenue', 'revenue'],\n",
    "                     'city': ['Boston', 'Peoria', 'Boston', 'Peoria']})\n",
    "\n",
    "plt.figure(figsize = (10, 8))\n",
    "\n",
    "ax = sns.barplot(x = 'city', y = 'value', hue = 'metric', palette= {'cost': 'red', 'revenue': 'black'}, \n",
    "                 data = data)\n",
    "tick_labels = [f'${x:,.2f}' for x in ax.yaxis.get_ticklocs()]\n",
    "plt.legend(prop = {'size': 20})\n",
    "plt.title('Smoking Cost vs Revenue')\n",
    "plt.ylabel(None)\n",
    "ax.yaxis.set_ticklabels(tick_labels);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Break Even Point for Tax Per Pack\n",
    "\n",
    "To figure out how high taxes should be to make revenue equal to cost, we can find the point where $\\text{cost} == \\text{revenue}$\n",
    "\n",
    "$$\\text{tax_required} = \\frac{\\text{cost_per_smoker}}{\\text{days} * \\text{n_packs}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:29.773130Z",
     "start_time": "2018-11-02T02:22:29.770854Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Breaking even requires a tax of $23.63 per pack.\n"
     ]
    }
   ],
   "source": [
    "tax_required = cost_per_smoker / (days * n_packs)\n",
    "\n",
    "print(f'Breaking even requires a tax of ${tax_required:,.2f} per pack.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Revenue vs Tax with Constant Smoking Rate\n",
    "\n",
    "This plot shows the revenue versus tax per pack with no decrease in the number of smokers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:30.040990Z",
     "start_time": "2018-11-02T02:22:29.774484Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tax =  np.arange(0, 25, 0.1)\n",
    "revenue = [b_smokers * n_packs * days * x for x in tax]\n",
    "cost = [b_smokers * cost_per_smoker for _ in range(len(revenue))]\n",
    "\n",
    "plt.figure(figsize = (10, 8))\n",
    "plt.plot(tax, revenue, label = 'revenue', color = 'black')\n",
    "plt.axhline(y = cost[0], label = 'cost', color = 'red')\n",
    "plt.plot(tax_required, cost[0], marker = '*', ms = 50, color = 'gold', label = 'break even');\n",
    "plt.legend(prop = {'size': 18})\n",
    "ax = plt.gca()\n",
    "tick_labels = [f'${x:,.2f}' for x in ax.yaxis.get_ticklocs()]\n",
    "ax.yaxis.set_ticklabels(tick_labels);\n",
    "tick_labels = [f'${x:,.2f}' for x in ax.xaxis.get_ticklocs()]\n",
    "ax.xaxis.set_ticklabels(tick_labels);\n",
    "plt.xlabel(\"Tax Per Pack\"); plt.ylabel(None); plt.title('Cost and Revenue vs Tax with Constant Smoking Rate');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In reality, the number of smokers declines as the tax per pack increases. We can account for this affect by finding the difference in smoking rates in Boston and Peoria and comparing this to the difference in tax rates between Boston and Peoria (assuming these two cities are indicative of the nation)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:30.246708Z",
     "start_time": "2018-11-02T02:22:30.042490Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For every $1.00 increase in revenue, there is a -2.29% decline in smokers.\n",
      "There are 0 smokers at a tax of $10.50 per pack.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "decline = (p_p - b_p) / (p_packtax - b_packtax)\n",
    "print(f'For every $1.00 increase in revenue, there is a {100 * decline:.2f}% decline in smokers.')\n",
    "rb_smokers = [b_adults * (b_p + (decline * (x - b_packtax))) for x in tax]\n",
    "rb_smokers = rb_smokers[:np.argmax(np.where(np.array(rb_smokers) > 0))]\n",
    "rtax =  tax[:len(rb_smokers)]\n",
    "\n",
    "print(f'There are 0 smokers at a tax of ${max(rtax):,.2f} per pack.')\n",
    "\n",
    "rrevenue = [rb_smokers[i] * n_packs * days * x for i, x in enumerate(rtax)]\n",
    "rcost = [rb_smokers[i] * cost_per_smoker for i in range(len(rrevenue))]\n",
    "\n",
    "\n",
    "plt.figure(figsize = (8, 6))\n",
    "plt.plot(rtax, rb_smokers, label = 'Number of Smokers')\n",
    "tick_labels = [f'${x:,.2f}' for x in ax.xaxis.get_ticklocs()]\n",
    "ax.xaxis.set_ticklabels(tick_labels);\n",
    "plt.xlabel('Tax Per Pack'); plt.ylabel('Number of Smokers');\n",
    "plt.title('Number of Smokers vs Tax Per Pack');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This seems reasonable. What it means, is that at a certain point, there are no more smokers because of the tax per pack (probably not realistic)!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Revenue vs Tax Rate with Declining Rate of Smoking\n",
    "\n",
    "Now we can make the same plot accounting for the declining rate in smokers to see if there is a break-even point in this situation. This is a very simple model but can still be useful."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-02T02:22:30.567805Z",
     "start_time": "2018-11-02T02:22:30.248241Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (12, 10))\n",
    "\n",
    "plt.plot(rtax, rrevenue, label = 'Revenue', color = 'black')\n",
    "plt.plot(rtax, rcost, label = 'Cost', color = 'red')\n",
    "plt.legend(prop = {'size': 18})\n",
    "ax = plt.gca()\n",
    "tick_labels = [f'${x:,.2f}' for x in ax.yaxis.get_ticklocs()]\n",
    "ax.yaxis.set_ticklabels(tick_labels);\n",
    "tick_labels = [f'${x:,.2f}' for x in ax.xaxis.get_ticklocs()]\n",
    "ax.xaxis.set_ticklabels(tick_labels);\n",
    "\n",
    "plt.ylabel(None); plt.xlabel('Tax Per Pack');\n",
    "plt.title('Revenue and Cost Versus Tax Per Pack with Declining Smoking Rate');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusions \n",
    "\n",
    "In the final plot, we see there is no break even point in terms of cost to society versus revenue from smoking. On the whole, we can conclude two things:\n",
    "\n",
    "* Smoking rates are significantly higher in my home town\n",
    "* Smoking is a negative to society \n",
    "\n",
    "Hopefully, this notebook has given you a small idea of what you can do by playing with the data yourself. Looking at facts is one thing, but trying to see how they are important in your life can make them stand out. \n",
    "\n",
    "![](images/national_smoking_time.png)\n",
    "(Source: https://news.gallup.com/poll/237908/smoking-rate-hits-new-low.aspx)\n",
    "\n",
    "National smoking rates over time have clearly declined! Just more evidence the world is improving. (Relevant Book: [Enlightenment Now](https://www.penguinrandomhouse.com/books/317051/enlightenment-now-by-steven-pinker/9780525427575/))"
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